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LCM of 308, 564, 164, 678, 296

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 308, 564, 164, 678, 296 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 308, 564, 164, 678, 296. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,564,164,678,296

Given numbers are 308,564,164,678,296

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 308,564,164,678,296 is 14888942376.

Find LCM of 308,564,164,678,296 with Prime Factorization


2 308, 564, 164, 678, 296
2 154, 282, 82, 339, 148
3 77, 141, 41, 339, 74
77, 47, 41, 113, 74

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 77 x 47 x 41 x 113 x 74 = 14888942376

Therefore, the lowest common multiple of 308,564,164,678,296 is 14888942376.

LCM Formula to Find Lowest Common Multiple of 308,564,164,678,296

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

308 x 564 x 164 x 678 x 296 = 5717353872384

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

164 : 1, 2, 4, 41, 82, 164

678 : 1, 2, 3, 6, 113, 226, 339, 678

296 : 1, 2, 4, 8, 37, 74, 148, 296

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,564,164,678,296, is 2.

Now, the common factors can be found like this.

308:2x 2x 7x 11

564:2x 2x 3x 47

164:2x 2x 41

678:2x 3x 113

296:2x 2x 2x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5717353872384/(2x192)

LCM = 5717353872384/384

LCM = 14888942376

Thus, we can understand that the LCM of 308,564,164,678,296 is 14888942376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 564, 164, 678, 296

1. What is the LCM of 308, 564, 164, 678, 296?

Answer: LCM of 308, 564, 164, 678, 296 is 14888942376.

2. How to calculate the LCM of 308, 564, 164, 678, 296?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 308, 564, 164, 678, 296.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.